Convert kilderkin to cubic foot
Learn how to convert
1
kilderkin to
cubic foot
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(kilderkin\right)={\color{rgb(20,165,174)} x}\left(cubic \text{ } foot\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(cubic \text{ } meter\right)\)
\(\text{Left side: 1.0 } \left(kilderkin\right) = {\color{rgb(89,182,91)} 8.182962 \times 10^{-2}\left(cubic \text{ } meter\right)} = {\color{rgb(89,182,91)} 8.182962 \times 10^{-2}\left(m^{3}\right)}\)
\(\text{Right side: 1.0 } \left(cubic \text{ } foot\right) = {\color{rgb(125,164,120)} 2.8316846592 \times 10^{-2}\left(cubic \text{ } meter\right)} = {\color{rgb(125,164,120)} 2.8316846592 \times 10^{-2}\left(m^{3}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(kilderkin\right)={\color{rgb(20,165,174)} x}\left(cubic \text{ } foot\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 8.182962 \times 10^{-2}} \times {\color{rgb(89,182,91)} \left(cubic \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 2.8316846592 \times 10^{-2}}} \times {\color{rgb(125,164,120)} \left(cubic \text{ } meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 8.182962 \times 10^{-2}} \cdot {\color{rgb(89,182,91)} \left(m^{3}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 2.8316846592 \times 10^{-2}} \cdot {\color{rgb(125,164,120)} \left(m^{3}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 8.182962 \times 10^{-2}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{3}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 2.8316846592 \times 10^{-2}} \times {\color{rgb(125,164,120)} \cancel{\left(m^{3}\right)}}\)
\(\text{Conversion Equation}\)
\(8.182962 \times 10^{-2} = {\color{rgb(20,165,174)} x} \times 2.8316846592 \times 10^{-2}\)
Cancel factors on both sides
\(\text{Cancel factors}\)
\(8.182962 \times {\color{rgb(255,204,153)} \cancel{10^{-2}}} = {\color{rgb(20,165,174)} x} \times 2.8316846592 \times {\color{rgb(255,204,153)} \cancel{10^{-2}}}\)
\(\text{Simplify}\)
\(8.182962 = {\color{rgb(20,165,174)} x} \times 2.8316846592\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 2.8316846592 = 8.182962\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{2.8316846592}\right)\)
\({\color{rgb(20,165,174)} x} \times 2.8316846592 \times \dfrac{1.0}{2.8316846592} = 8.182962 \times \dfrac{1.0}{2.8316846592}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{2.8316846592}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{2.8316846592}}} = 8.182962 \times \dfrac{1.0}{2.8316846592}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{8.182962}{2.8316846592}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx2.8897857582\approx2.8898\)
\(\text{Conversion Equation}\)
\(1.0\left(kilderkin\right)\approx{\color{rgb(20,165,174)} 2.8898}\left(cubic \text{ } foot\right)\)
